Question

A container placed on a table has four holes as shown below; $X_A,X_B,X_{C}and{X}_D$represent the horizontal distances covered by the stream of liquid coming out from the holes $\text{A}, \text{B}, \text{C},$ and $\text{D}$ respectively. Which of the following options is correct?

• A. $({\text{X}}_{\text{A}}={\text{X}}_{\text{B}})<{\text{X}}_{\text{C}}<{\text{X}}_{\text{D}}$
• B. ${\text{X}}_{\text{A}}<{\text{X}}_{\text{B}}<{\text{X}}_{\text{C}}<{\text{X}}_{\text{D}}$
• C. ${\text{X}}_{\text{A}}>{\text{X}}_{\text{B}}>{\text{X}}_{\text{C}}>{\text{X}}_{\text{D}}$
• D. $({\text{X}}_{\text{A}}={\text{X}}_{\text{B}})>{\text{X}}_{\text{C}}>{\text{X}}_{\text{D}}$

Answer 1

The correct option is D $({\text{X}}_{\text{A}}={\text{X}}_{\text{B}})>{\text{X}}_{\text{C}}>{\text{X}}_{\text{D}}$

The pressure exerted by a liquid depends on the depth of the liquid. As the depth increases, the pressure also increases. Also pressure exerted at a particular level is always the same. So the pressure at the hole A and B are equal and pressure at the hole C is less than A and B, but greater than hole D.
The stream of liquid coming out from the hole having maximum pressure will cover more distance. So the relation between the distance covered by the fountains would be $({\text{X}}_{\text{A}}={\text{X}}_{\text{B}})>{\text{X}}_{\text{C}}>{\text{X}}_{\text{D}}$.